Atkin-Lehner |
2- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57152i |
Isogeny class |
Conductor |
57152 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-360528144760832 = -1 · 233 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 1 2 -3 -6 5 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-313537,-67685057] |
[a1,a2,a3,a4,a6] |
j |
-13003239781926577/1375305728 |
j-invariant |
L |
0.40351016828767 |
L(r)(E,1)/r! |
Ω |
0.10087754118688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57152e1 14288d1 |
Quadratic twists by: -4 8 |